# Compare Unit Fractions - Different Sized Models

Videos, examples, solutions, and lessons to help Grade 3 students learn how to compare unit fractions with different sized models representing the whole.

Common Core Standards: 3.NF.3d, 3.NF.1, 3.NF.3a, 3.NF.3b, 3.NF.3c, 3.G.2

New York State Common Core Math Grade 3, Module 5, Lesson 11

Application Problem

Rachel, Silvia, and Lola each received the same homework assignment but they only completed part of it. Rachel completed 1/6 of hers, Silvia completed ½ of hers , and Lola completed ¼ of hers. Write the amount of homework each girl completed from least to greatest. Draw a picture to prove your answer.

Lesson 11 Concept Development

Is 1 always the same as 1?
Is 1 liter of soda the same as 1 can of soda?
Yes, they’re still the same amount.
No, a liter and a can are different.
How many stays the same, but a liter is bigger than a can so how much in each is different.

How many and how much are important to our question.
In this case, what each thing is changes it too. A liter is bigger so it has more soda than a can.

If the thing is bigger, then it has more.
Even though the number of things is the same, what it is might change how much of it there is.

If what it is and how much it is are different, then 1 and 1 aren’t exactly the same.

Lesson 11 Problem Set

Label the unit fraction. In each blank, draw and label the same whole with a shaded unit fraction that makes the sentence true. There is more than 1 correct way to make the sentence true.

Lesson 11 Homework Label the unit fraction. In each blank draw and label the same whole with a shaded unit fraction that makes the sentence true. There is more than 1 correct way to make the sentence true.

8. Fill in the blank with a fraction to make the statement true and draw a matching model.

9. Debbie ate 1/8 of a large brownie. Julian ate 1/2 of a small brownie. Julian says, ԉ ate more brownies than you because 1/2 > 1/8.
a. Use pictures and words to explain Julian’s mistake.
b. How could you change the problem so that Julian is correct? Use pictures and words to explain.

10. Manny and Daniel each ate 1/2 of their candies, shown below. Manny said he ate more candy than Daniel because his half is longer. Is he right? Explain.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.